Single Variable Calculus

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Logarithmic Differentiation Linear Function to Exponential

SVCALC-YLZEUP

Find derivative of the function $y=2x^{ e^x}$

A

$2x^{e^x} \cfrac{e^x}{x}$

B

$2e^xx^{e^x-1}$

C

$2x^{e^x}(e^x\ln(x) + \cfrac{e^x}{x})$

D

$2x^{e^x}(e^x\ln(x) - \cfrac{e^x}{x})$